Answers
Four Answers:
Choice AChoice CChoice DChoice J====================================================
Explanation:
A rational number is any fraction of two whole numbers.
Examples: 7/9 and -8/12
This can be extended to some numbers like [tex]\sqrt{49}[/tex] because
[tex]\sqrt{49} = \sqrt{7^2} = 7 = \frac{7}{1}[/tex]
As you can see, any whole number is also rational but not the other way around.
So far, these examples help show that choices A, C, D, and J are rational numbers. Choice D might need a bit of rewriting like so:
[tex]\frac{0.5}{8} = 0.5 \div 8\\\\ = \frac{1}{2} \div \frac{1}{8} \\\\= \frac{1}{2} \times \frac{8}{1}\\\\ = \frac{8}{2}\\\\ = 4[/tex]
In short, the expression for choice D simplifies to 4 = 4/1 showing that is rational. Or you can use the shortcut that rational/rational = rational.
------------------
A number like [tex]\sqrt{13}[/tex] is NOT rational because the 13 is not a perfect square. There's no way to rewrite that square root as a ratio or fraction of integers. This allows us to rule out choice B. Choices E, F, and G are eliminated for similar reasoning.
Choice H is ruled out because circle areas involve pi = 3.14159... which is famously an irrational number. The proof of which is very lengthy to go over, but the short version is the decimal digits go on forever without a pattern. This is an informal way to check if we have an irrational number.
Choice I is only eliminated if and only if the side lengths of the square are rational, and also when the side lengths are whole numbers. Its not clear what your teacher's intentions here are, but I'll assume this is the case.
------------------
To summarize, we eliminated B, E, F, G, H, I
We're left with A, C, D, J as the final answers. They either can be written as fractions of integers, or already are fractions of integers.
Related Questions
Find the quadratic equation given that the roots are 3 and 9
Answers
Answer:
[tex]\bold\purple{Quadratic \: \: eq {}^{n} = x {}^{2} - ( \alpha + \beta )x + \alpha \beta} \\ [/tex]
Sum of roots ,
[tex]( \alpha + \beta ) = (3 + 9) = 12[/tex]
Product of roots ,
[tex]( \alpha \beta ) = (3)(9) = 27[/tex]
Substituting the values in the above equation ,
[tex]\bold{x {}^{2} - ( \alpha + \beta )x + \alpha \beta} \\\\ \bold{⇢ x {}^{2} - (12)x + 27} \\\\ \bold\blue{ ⇢x {}^{2} - 12x + 27}[/tex]
hope helpful~
The coordinates of the points A and B are ( 0 , -2 ) and ( 3 , 0 ) respectively.
(a) What is the y - intercept of the line AB?
(b) What is the gradient of the line AB?
(c) What is the length of the line AB?
Answers
Answer: The y-intercept is -2
The gradient is 2/3
and the length is 13
Step-by-step explanation:
The process of mitosis in a paragraph FOR SCIENCE
Answers
Answer:
Mitosis means threads, and it refers to chromosomes while the cell starts to divide. Mitosis is when a eukaryotic cell's nucleus splits.
Find a common denominator and then subtract and simplify your answer.
11/12-3/4
a: 1/7
b: 1/5
c: 1/6
Answers
Answer: c. 1/6
Step-by-step explanation:
The least common demoninator would be 12, as 12 is a multiple of 4.
We can multiply the fraction 3/4 by (3/3)
3/4 = 3/4*(3/3)
= (3*3)/3*4)
= 9/12
We can plug in the value of 9/12 in as 3/4 back into the expression:
= 11/12 - 9/12
We can combine the numerators since there is a common denominator:
= (11-9)/12
= 2/12
Divide the numerator and denominator of this fraction by 2:
= 1/6
4 Anderson earned $36,800 in taxable income last year. According to his tax
table, he should pay $922.50 plus 15% of the amount over $9,225. How much
income tax will Anderson owe?
Answers
Answer:
$1556.25
Step-by-step explanation:
HELP ASAP
What is the measure of angle CJO?
27°
63°
82°
117°
Answers
Answer:
82⁰
Step-by-step explanation:
hope it helps thank me later broFully describe the association that would exist between variables with the given correlation coefficient. (a) r=0.6578 (b) r= 0.1648 (c) r = -0.9875
Answers
Answer:
Step-by-step explanation:
Correlation is a statistical technique that is used to measure and describe a relationship between two variables. Usually the two variables are simply observed, not manipulated. The correlation requires two scores from the same individuals. These scores are normally identified as X and Y.
What are the terms in the expression 7x + 4y + 1?
Answers
Answer:
7x, 4y
Step-by-step explanation:
terms are numbers with variables in expressions. usually able to count because + and - split them
A surveyor asked 250 residents of a town with a population of 15,000 on whether they fish in any of the town's lakes. 95 people answered "yes" to the question. How many people would be expected to answer "yes" given the entire population was surveyed?
ANSWER WITH EXPLAINATION // PROOF PLSS
Answers
Answer:
5,700 people would be expected to say yes.
Step-by-step explanation:
15,000 divided by 250 gives you 60. You use 60 and multiply it by 95 since out of every 250 people 95 people said yes.
a couch at the wholesale price is $125. If the markup rate at the furniture store is %40,what is the price of the new couch
Answers
Answer: $175
Step-by-step explanation:
1. Original Price = $125, Markup is 40% = .4
2. 125 * .4 = 50
3. 125 + 50 = 175
only 15 left just tell me when you cant help no more
Answers
Multiply (polynomials)
I WILL GIVE BRAINLIEST, NEED IT TODAY
Answers
Answer:
1. 12x² - 7x - 10
2. 10x² + 31x - 14
3. 3x² - xy - 9x + 4y - 12
4. 16y^4 - 1
5. 24x² - 21x - 3
6. -2m² - 2m + 12
7. 15d² - 31d - 12
8. 12x³ + 5x² - 2x
9. 6t² - 20t - 26
10. 48a² - 12b²
Step-by-step explanation:
1.
[tex](3x)(4x)+(3x)(-5)+(2)(4x)+(2)(-5)[/tex] [tex]12x^2-15x+8x-10[/tex] [tex]12x^2-7x-10[/tex]2.
[tex](5x)(2x)+(-2)(2x)+(5x)(7)+(-2)(7)[/tex] [tex]10x^2-4x+35x-14[/tex] [tex]10x^2+31x-14[/tex]3.
[tex](x)(3x) + (x)(-y) + (x)(3) + (-4)(3x) + (-4)(-y) + (-4)(3)[/tex] [tex]3x^2-xy+3x-12x+4y-12[/tex] [tex]3x^2-xy-9x+4y-12[/tex]4.
[tex]((2y-1)(2y+1))(4y^2)+((2y-1)(2y+1))(1)[/tex] [tex]16y^4-4y^2 + 4y^2 -1[/tex] [tex]16y^4 - 1[/tex]5.
[tex](3x)(8x)+(3x)(1)+(-3)(8x)+(-3)(1)[/tex] [tex]24x^2+3x-24x-3[/tex] [tex]24x^3-21x-3[/tex]6.
[tex](-m)(2m)+(-m)(-4)+(-3)(2m)+(-3)(-4)[/tex] [tex]-2m^2+4m-6m+12[/tex][tex]-2m^2-2m+12[/tex]7.
[tex](5d)(3d)+(5d)(1)+(-12)(3d)+(-12)(1)[/tex] [tex]15d^2 + 5d - 36d -12[/tex] [tex]15d^2-31d -12[/tex]8.
[tex](3x^2)(4x)+(3x^2)(-1)+(2x)(4x)+(2x)(-1)[/tex] [tex]12x^3-3x^2+8x^2-2x[/tex] [tex]12x^3+5x^2-2x[/tex]9.
[tex](3t)(2t)+(3t)(2)+(-13)(2t)+(-13)(2)[/tex] [tex]6t^2 + 6t - 26t -26[/tex] [tex]6t^2-20t-26[/tex]10.
[tex](4a)(12a)+(4a)(6b)+(-2b)(12a)+(-2b)(6b)[/tex] [tex]48a^2+24ab-24ab-12b^2[/tex][tex]48a^2-12b^2[/tex]Have a lovely rest of your day/night, and good luck w/ your assignments! (‾◡◝)
please answer quickly
Answers
Answer:
106
Step-by-step explanation:
The given is a pentagon and the sum of interior angles is = 540
so to find the value of x:
132 + 90 + x + x + x = 540 add like terms
222 + 3x = 540 subtract 222 from both sides
3x = 318 divide both sides by 3
x = 106
Given a polynomial function f(x) = 2x2 – 3x + 5 and an exponential function g(x) = 2% – 5, what key features do f(x) and g(x) have in common?
A. Both f(x) and g(x) have the same domain of (0, -60).
B. Both f(x) and g(x) have the same range of [0,-).
C. Both f(x) and g(x) have the same x-intercept of (2,0).
D. Both f(x) and g(x) increase over the interval of (-4,-).
Answers
A. Both [tex]f(x)[/tex] and [tex]g(x)[/tex] have the same domain of [tex](9, +\infty)[/tex].
How to analyze similarities in two functions
In this question we must analyze the domain, range, x-intercepts and increase intervals:
Domain[tex]Dom \{f(x)\} = \mathbb{R}[/tex]
[tex]Dom \{g(x)\} = \mathbb{R}[/tex]
Both functions are continuous.
Range[tex]Ran \left\{f(x)\right\} = (3.875, +\infty)[/tex]
[tex]Ran \{g(x)\} = (-5, +\infty)[/tex]
x-Intercepts[tex]f(x):[/tex] [tex](x,y) = \emptyset[/tex]
[tex]g(x):[/tex] [tex](x,y) = (2.322, 0)[/tex]
Increase intervals[tex]f(x):[/tex] According to the graph, [tex]f(x)[/tex] increase over the interval of [tex](3.875, + \infty)[/tex].
[tex]g(x) :[/tex] According to the graph, [tex]g(x)[/tex] increase over the interval of [tex]\mathbb{R}[/tex]
After a quick analysis, we conclude that option A offer the best approximation to characteristics of both functions. [tex]\blacksquare[/tex]
RemarkThe statement presents mistakes and is poorly formatted. Correct form is:
Given a polynomial function [tex]f(x) = 2\cdot x^{2}-3\cdot x + 5[/tex] and an exponential function [tex]g(x) = 2^{x}-5[/tex]. What key features do [tex]f(x)[/tex] and [tex]g(x)[/tex] have in common?
A. Both [tex]f(x)[/tex] and [tex]g(x)[/tex] have the same domain of [tex](9, +\infty)[/tex].
B. Both [tex]f(x)[/tex] and [tex]g(x)[/tex] have the same range of [tex](-\infty, 0][/tex].
C. Both [tex]f(x)[/tex] and [tex]g(x)[/tex] have the same x-intercept of [tex](2,0)[/tex].
D. Both [tex]f(x)[/tex] and [tex]g(x)[/tex] increase over the interval of [tex](-4, +\infty)[/tex].
To learn more on functions, we kindly invite to check this verified question: https://brainly.com/question/5245372
Determine a series of transformations that would map Figure E onto F.
Answers
Answer:
a reflection across y = -x
Step-by-step explanation:
When reflecting across y = -x,
(x,y) becomes (-y , -x )
basically switch the x and y, then change to the opposite sign
Factor completely 16x2 − 25. (4x − 5)(4x − 5) (4x 5)(4x − 5) (16x 5)(x − 5) (16x − 5)(x 5)
Answers
(a+b)(a-b) = a^2-b^2, we can create an equivalent expression, where 4x is a and 5 is b:
(4x+5)(4x-5)
Hope this helps
A circle is drawn on the coordinate plane. It
has a center at (2, 1) and passes through the
point (2, 5). What is the approximate
circumference of the circle?
Answers
Step-by-step explanation:
please mark me as brainlist please
Answer:
Using Pythagorean theorem we can find the radius which is the distance between the center and any point along the circle:
r=((5-1)^2+(2-2)^2)^(1/2)
r=(4^2-0^2)^(1/2)
r=4 units.
Circumference=2pr so our circumference is 8p units^2
so about 25.13 u^2
What is the value of c
Answers
-6c=61-7
-6c=54
c=-54/6
c=-9
Answer is -9
4 students is ____% of 20 students
Answers
Answer:
20%
Step-by-step explanation:
20 * 20% = 4
or you can change it to a decimal
20 * .2 = 4
hope this helped! :)
Suppose that F(x)=x^2and g(x) = 4/5x^2
Which statement best compares the
graph of G(x) with the graph of F(x)?
Answers
Answer:
A
Step-by-step explanation:
A
i do not know this answer. it has to be rotation 270° clockwise around the origin.
Answers
Why do some of the questions I type. Don't pop up any answers?
Answers
Answer:
how am i supposed to know
Step-by-step explanation:
Help plss it's due today??...!
Answers
Answer:
The answer is 80°
Step-by-step explanation:
Given;We are given a hexagon with 6 anglesTo Find;The value of xHere, we know that the sum of all interior angles of hexagon is equal to 720°
So,
x + x + 140 + 140 + 140 + 140 = 720
2x + 560 = 720
2x + 560 – 560 = 720 – 560
2x = 160
2x/2 = 160/2
x = 80°
Thus, The value of x is 80°
For Verification
x + x + 140 + 140 + 140 + 140 = 720
80 + 80 + 140 + 140 + 140 + 140 = 720
720 = 720
L.H.S = R.H.S
Hence Verified!
-TheUnknownScientist 72
A building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18pi meters.
What is the area A of the cross section of the column?
Give your answer in terms of pi.
A = m spuared
Answers
Answer:
81π m²Step-by-step explanation:
Circumference formula: C = 2πr
Compare with given value and determine the radius:
2πr = 18πr = 18π/2πr = 9 mFind the area of the cross-section.
Area formula: A = πr²
Area: A = 9²*π = 81π m²
Find radius
C/2π18π/2π9mSo.area
πr²9²π81πm²Select the correct answer. The perimeter of a triangle is 30 units. If it’s is dilated with respect to origin by a scale factor of 0.5, what is the perimeter of the resulting triangle?
Answers
Answer: 15
Step-by-step explanation:
We know that the scale factor of the dilation is the ratio of similtude, and that the ratio of similitude is equal to the ratio of the perimeters. So, the new perimeter is 30(0.5)=15.
6437585839765349 + 52367538546941478 ?
Answers
5.880512439 x 10^16
5.880512439 x 10^16Hope this helps!
Answer:
The answer is
→ 5.8805124e+16 or 5.880512439 x 10^16
Step-by-step explanation:
Solution for both: [tex]5.8805124e+16[/tex]
First option: [tex]6437585839765349 + 52367538546941478 = 5.8805124e+16[/tex]
Second option: [tex]5.880512439 * 10^1^6 = 5.8805124e+16[/tex]
Therefore, [tex]5.8805124e+16[/tex] is your answer.
Hope this helped! :^)
⭐Brainliest will be appreciated!⭐
✉️Message me if you have any more questions!✉️
- ✨7272033Alt✨
Submitted on 4/20/2022 at 12:52 PM
(To avoid plagarism, by users whom decide to copy.)
MARKING BRAILIEST!!!! Select the statement that describes this expression: 13 + fraction 1 over 2 x (6 ÷ 2 + 6)
a: 13 more than half of 6 more than the quotient of 6 and 2
b:13 more than half of the quotient of 6 and 6 minus 2
c:Half of 13 multiplied by the quotient of 6 and 2 plus 3
d:13 plus half of 6 divided by 2, then subtract 6
Answers
Answer: D
You get the same answer from doing both!
Answer:
a
Step-by-step explanation:
Javier got a new job recently and wonders how many outfit
combinations he can wear to work. The table below shows all of
his items of clothing.
Pants
Shirts
Socks
Ties
Black
White
Black
Blue
Grey
Blue
Brown
Red
Yellow
Grey
Black
Grey
How many different outfits can Javier create for work?
O 72
O 12
O 4
O 16
Please y’all got to answer this please?
Answers
Answer:
4 maybe??...
Step-by-step explanation:
I really dunno P-P
The sum of the digits of a two-digit number is 7. If the digits are reverses, the new number is 9 more than the original number. Find the original number.
Answers
25
Step-by-step explanation
Let the ones's digit =x.
So, sum of the digits =7
Tens's digit =7−x
Original no. =10(7−x)+x=70−10x+x=70−9x
Reversed no. =10x+7−x=9x+7
2(orig no) = reversed no. −2
2(70−9x)=9x+7−2
140−18x=9x+5
27x=135
x=5
Ten's digit =7−5=2
No. =25
A farmhouse shelters 20 animals. Some are pigs and some are ducks. Altogether there are
46 legs. How many of each animal are there?
Answers
Answer:
7 pigs and 9 ducks.Their are many other answers to this question this is one of the ones that are correct.